Bell Problem

Find the value of x.

5.5 Use Inequalities in a Triangle

Standards:1. Analyze properties of 2-D shapes

2. Understand how mathematical ideas build on one another

Ex. Draw an obtuse scalene triangle. Find the largest angle and longest side. Find the smallest angle and shortest side.

If one side of a triangle is longer than another side, then the angle opposite the longer side is larger than the angle opposite the shorter side.

If one angle of a triangle is larger than another angle, then the side opposite the larger angle is longer than the side opposite the smaller angle.

Ex. Jenny is constructing a stage prop that shows a large triangular mountain. The bottom edge of the mountain is 32 feet long, the left slope is 24 feet long, and the right slope is 26 feet long. Jenny is told that one of the angles measures 530 and one measures 480. What is the angle measure of the peak of the mountain?

Triangle Inequality Theorem

The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

1. AB + BC > AC2. AC + BC > AB3. AB + AC > BC

Ex. A triangle has one side of the length 12 and another of length 8. Describe the possible lengths of the third side.

Ex. A triangle has one side of 11 inches and another of 15 inches. Describe the possible lengths of the third side.

Homework

pg. 331-332 #8-22 even